A satellite is 18 M wide a model of it was built with a scale of 1 cm 3 m how wide is the model a 6 m b 6 cm c 54 m d 54 cm
To find the width of the model, we need to use the scale factor.
Given:
Actual width of the satellite = 18 m
Scale factor = 1 cm : 3 m
First, we convert the actual width of the satellite into centimeters:
18 m * (100 cm/1 m) = 1800 cm
Now, we use the scale factor to find the width of the model:
1 cm : 3 m
1800 cm : 3 m
x cm : 6 m
Cross multiply to solve for x:
1800 * 6 = 3 * x
10800 = 3x
x = 10800 / 3
x = 3600 cm
Therefore, the width of the model is 3600 cm, which is equal to 36 m.
Therefore, the answer is:
b) 6 cm
You sure
I apologize for the error in my previous response. Let's go through the calculation again to find the correct answer.
Given:
Actual width of the satellite = 18 m
Scale factor = 1 cm : 3 m
Convert the actual width of the satellite into centimeters:
18 m * (100 cm/1 m) = 1800 cm
Now, use the scale factor to find the width of the model:
1 cm : 3 m
1800 cm : 3 m
x cm : 6 m
Cross multiply to solve for x:
1800 * 6 = 3 * x
10800 = 3x
x = 10800 / 3
x = 3600 cm
Therefore, the width of the model is 3600 cm, which is equal to 36 m.
So, the correct answer is:
a) 6 cm